If the Moon's diameter is approximately 3500 km, what angle will this diameter subtend if the Moon is observed when it is at a distance of about 400,000 km from Earth?
A) 0.009°
B) 30 arcminutes
C) 30°
D) 30 arcseconds

Question

Quizplus · Accepted Answer

The angle can be calculated using the formula for the angular size of an object: angle = (diameter of the object / distance to the object) * (180/pi). Substituting the given values (3500 km / 400,000 km) * (180/pi) gives an angle in radians, which when converted to degrees is approximately 0.5°. Since 1 degree = 60 arcminutes, 0.5° is equal to 30 arcminutes.

If the Moon's Diameter Is Approximately 3500 Km, What Angle